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Finding the Fourth Proportional to 1,314.58, 1,971.88 and 340.69

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Solution

The fourth proportional to 1,314.58, 1,971.88 and 340.69 is: 511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.58 : 1,971.88 = 340.69 : x
  2. Step 2: Convert to fraction form
    1,314.58/1,971.88 = 340.69/x
  3. Step 3: Cross multiply
    1,314.58x = 1,971.88 × 340.69
  4. Step 4: Simplify right side
    1,314.58x = 671,799.80
  5. Step 5: Solve for x
    x = 671,799.80/1,314.58
  6. Step 6: Final answer
    x = 511.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.